Abstract

We determine that the deformation space of convex real projective structures, that is, projectively flat torsion-free connections with the geodesic convexity property on a compact 2-orbifold of negative Euler characteristic is homeomorphic to a cell of certain dimension. The basic techniques are from Thurston's lecture notes on hyperbolic 2-orbifolds, the previous work of Goldman on convex real projective structures on surfaces, and some classical geometry.

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 1019-1102
Launched on MUSE
2005-10-04
Open Access
N
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